QuestionA car dealership reduced a car's price by $6\%$ from the original price of \$49,600.
(a) New price = $\square \times$ Original price.
(b) Find the new price.

Studdy Solution

STEP 1

Assumptions1. The original price of the car is $49,600. The price is decreased by6%

STEP 2

First, we need to express the decrease in price as a percentage of the original price. This is done by subtracting the percentage decrease from100%.
$New\, price\, percentage =100\% - Decrease\, percentage$

STEP 3

Now, plug in the given value for the decrease percentage to calculate the new price percentage.
$New\, price\, percentage =100\% -6\%$

STEP 4

Calculate the new price percentage.
$New\, price\, percentage =100\% -6\% =94\%$

STEP 5

Convert the percentage to a decimal value.
$94\% =0.94$ So, the new price is0.94 times the original price.

STEP 6

Now, we can use the new price percentage to calculate the new price of the car. This is done by multiplying the original price by the new price percentage.
$New\, price = Original\, price \\times New\, price\, percentage$

STEP 7

Plug in the values for the original price and the new price percentage to calculate the new price.
$New\, price = \$49,600 \\times0.94$

STEP 8

Calculate the new price of the car.
$New\, price = \$49,600 \\times0.94 = \$46,624$ The new price of the car is $46,624.

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QuestionA car dealership reduced a car's price by $6\%$ from the original price of \$49,600.
(a) New price = $\square \times$ Original price.
(b) Find the new price.

Studdy Solution

STEP 1

Assumptions1. The original price of the car is $49,600. The price is decreased by6%

STEP 2

First, we need to express the decrease in price as a percentage of the original price. This is done by subtracting the percentage decrease from100%.
$New\, price\, percentage =100\% - Decrease\, percentage$

STEP 3

Now, plug in the given value for the decrease percentage to calculate the new price percentage.
$New\, price\, percentage =100\% -6\%$

STEP 4

Calculate the new price percentage.
$New\, price\, percentage =100\% -6\% =94\%$

STEP 5

Convert the percentage to a decimal value.
$94\% =0.94$ So, the new price is0.94 times the original price.

STEP 6

Now, we can use the new price percentage to calculate the new price of the car. This is done by multiplying the original price by the new price percentage.
$New\, price = Original\, price \\times New\, price\, percentage$

STEP 7

Plug in the values for the original price and the new price percentage to calculate the new price.
$New\, price = \$49,600 \\times0.94$

STEP 8

Calculate the new price of the car.
$New\, price = \$49,600 \\times0.94 = \$46,624$ The new price of the car is $46,624.

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QuestionA car dealership reduced a car's price by 6%6\%6% from the original price of \$49,600. (a) New price = □×\square \times□× Original price. (b) Find the new price.

Studdy Solution

STEP 1

Assumptions1. The original price of the car is $49,600. The price is decreased by6%

STEP 2

First, we need to express the decrease in price as a percentage of the original price. This is done by subtracting the percentage decrease from100%.New price percentage=100%−Decrease percentageNew\, price\, percentage =100\% - Decrease\, percentageNewpricepercentage=100%−Decreasepercentage

STEP 3

Now, plug in the given value for the decrease percentage to calculate the new price percentage.New price percentage=100%−6%New\, price\, percentage =100\% -6\%Newpricepercentage=100%−6%

STEP 4

Calculate the new price percentage.New price percentage=100%−6%=94%New\, price\, percentage =100\% -6\% =94\%Newpricepercentage=100%−6%=94%

STEP 5

Convert the percentage to a decimal value.94%=0.9494\% =0.9494%=0.94So, the new price is0.94 times the original price.

STEP 6

STEP 7

Plug in the values for the original price and the new price percentage to calculate the new price.New price=$49,600times0.94New\, price = \$49,600 \\times0.94Newprice=$49,600times0.94

STEP 8

Calculate the new price of the car.New price=$49,600times0.94=$46,624New\, price = \$49,600 \\times0.94 = \$46,624Newprice=$49,600times0.94=$46,624The new price of the car is $46,624.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionA car dealership reduced a car's price by $6\%$ from the original price of \$49,600.
(a) New price = $\square \times$ Original price.
(b) Find the new price.

First, we need to express the decrease in price as a percentage of the original price. This is done by subtracting the percentage decrease from100%.
$New\, price\, percentage =100\% - Decrease\, percentage$

Now, plug in the given value for the decrease percentage to calculate the new price percentage.
$New\, price\, percentage =100\% -6\%$

Calculate the new price percentage.
$New\, price\, percentage =100\% -6\% =94\%$

Convert the percentage to a decimal value.
$94\% =0.94$ So, the new price is0.94 times the original price.

Plug in the values for the original price and the new price percentage to calculate the new price.
$New\, price = \$49,600 \\times0.94$

Calculate the new price of the car.
$New\, price = \$49,600 \\times0.94 = \$46,624$ The new price of the car is $46,624.